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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 897 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.One number is 6 times another. Their difference is 40. What is the smaller number?
  2. 2.The sum of two numbers is 118 and their difference is 62. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  5. 5.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  6. 6.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  7. 7.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  8. 8.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  11. 11.One number is 2 times another. Their difference is 35. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  13. 13.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  15. 15.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 155. What is the smaller number?
  17. 17.The sum of two numbers is 126 and their difference is 38. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 145. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  23. 23.The sum of two numbers is 69 and their difference is 35. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  26. 26.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  27. 27.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  30. 30.One number is 6 times another. Their difference is 170. What is the smaller number?
  31. 31.The sum of two numbers is 110 and their difference is 84. What is the larger number?
  32. 32.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  34. 34.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  36. 36.One number is 5 times another. Their difference is 36. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 160. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 60. What is the largest of them?
  39. 39.One number is 4 times another. Their difference is 120. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 30. What is the smallest of them?

Answer key

  1. 8
  2. 28
  3. 60
  4. 10
  5. 28
  6. 31
  7. 14
  8. 24
  9. 41
  10. 16
  11. 35
  12. 46
  13. 43
  14. 24
  15. 40
  16. 31
  17. 44
  18. 30
  19. 50
  20. 27
  21. 31
  22. 18
  23. 17
  24. 17
  25. 17
  26. 27
  27. 17
  28. 56
  29. 77
  30. 34
  31. 97
  32. 34
  33. 72
  34. 50
  35. 48
  36. 9
  37. 34
  38. 14
  39. 40
  40. 9

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